Top 25 question of Ratio and proportion

Problem 1.

A certain amount of money is divided among A, B and C. If A receives 25% more than B and B receives 25% less than C, then A : B : C is,

1. 12 : 10 : 11
2. 10 : 9 : 12
3. !5 : 12 : 16
4. 14 : 12 : 13

Problem 2.

Two numbers are in the ratio 17 : 45. One third of the smaller is less than one fifth of the larger by 15. The smaller number is,

1. 2512$25{\displaystyle \frac{1}{2}}$
2. 8612$86{\displaystyle \frac{1}{2}}$
3. 6712$67{\displaystyle \frac{1}{2}}$
4. 7612$76{\displaystyle \frac{1}{2}}$

Problem 3.

A policeman starts to chase a thief and moves 8 steps when the thief takes 10 steps, but 7 steps of the thief equals 5 steps of the policeman. The ratio of the speeds of the policeman and the thief is,

1. 25 : 28
2. 26 : 25
3. 25 : 26
4. 28 : 25

Problem 4.

Two numbers are in ratio of 3 : 5 and their LCM is 225. The smaller number is,

1. 75
2. 45
3. 60
4. 90

Problem 5.

Two numbers are in the ratio of 112:223$1{\displaystyle \frac{1}{2}:2{\displaystyle \frac{2}{3}}}$. When each of these is increased by 15, the ratio changes to 123:212$1{\displaystyle \frac{2}{3}:2{\displaystyle \frac{1}{2}}}$. The larger of the numbers is,

1. 48
2. 27
3. 36
4. 64

Problem 6.

The ratio of savings to expenditure of a person is 2 : 3. If his savings increases by 6% while his income increases by 15% then by how much percentage did his expenditure increase?

1. 21%
2. 24%
3. 12%
4. 25%

Problem 7.

A trader sells 20 kg of sugar at Rs. 400 and agrees to the request of a customer to give him a discount of 20%. But being a dishonest trader he uses a spurious weight which is less by 4% per kg of weight. The effective discount that the customer then gets,

1. 15.5%
2. 16%
3. 16.66%
4. 19.6%

Problem 8.

When A, B and C do a task together the ratio of work that A and B do together with respect to what C does is 7 : 3 and the ratio of work that B and C together do to the work A does is 1 : 1. Which worker among the three is most efficient?

1. B
2. A
3. C
4. Cannot be answered with the given information

Problem 9.

In three containers of equal capacity, the ratio of milk to water is 3: 2, 7 : 3 and 11 : 4 respectively. If the liquids in the three containers are mixed together, what will be the milk to water ratio in the new mixture?

1. 61 : 28
2. 60 : 29
3. 59 : 29
4. 61 : 29

Problem 10.

Vinny got twice as many marks in English as in Science. Her total marks in English, Science and Maths is 180. If the ratio of her marks in Maths and English is 3 : 2, what is her marks in Science?

1. 30
2. 72
3. 60
4. 90.      
5. Q11. A certain sum of money was divided among A, B and C in a certain way. C got half as much as A and B together got. A got one third of what B and C together got. What is the ratio of A’s share to that of C’ s share?
6. (a) 1 : 4
   (b) 3 : 4
   (c) 4 : 1
   (d) 3 : 5
   (e) None of these
   
   
   
   Q12. The wages of laborers in a factory increased in the ratio 22 : 25 and there was a reduction in their number in the ratio 15 : 11. Find the original wage bill if the present bill is Rs 5000.
   (a) Rs 2500
   (b) Rs 3000
   (c) Rs 5000
   (d) Rs 6000
   (e) None of these
   
   
   Q13. Rs 1220 is divided, among A, B, C and D such that B’s share is 5/9 th of A’s; C’s share is 7/10 th of B’s and D has 1/3rd as much as B and C together. Find A’s share
   (a) Rs 540
   (b) Rs 802
   (c) Rs 100
   (d) Rs 650
   (e) None of these
   
   
   Q14. A, B and C are partners. A receives 9/10 of the profit and B and C share the remaining profit equally. A’s income is increased by Rs 270 when the profit rises from 12 to 15%. Find the capital invested by B and C each
   (a) Rs 5000
   (b) Rs 1000
   (c) Rs 500
   (d) Rs 1500
   (e) None of these
   
   
   Q15. Three friends A, B and C started a business by investing a sum of money in the ratio of 5 : 7 : 6. After 6 months C withdraws half of his capital. If the sum invested by ‘A’ is Rs 40,000, out of a total annual profit of Rs 33,000, C’s share will be
   (a) Rs 9,000
   (b) Rs 12,000
   (c) Rs 11,000
   (d) Rs 10,000
   (e) None of these
   
   
   Q16. Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by Rs 25 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
   (a) Rs 80 lakh
   (b) Rs 50 lakh
   (c) Rs 40 lakh
   (d) Rs 60 lakh
   (e) None of these
   
   
   Q17. In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
   (a) 1 kg
   (b) 200 gms
   (c) 800 gms
   (d) 1.8 kg
   (e) None of these
   
   
   Q18. When 30 percent of a number is added to another number the second number increases to its 140 per cent. What is the ratio between the first and the second number?
   (a) 3 : 4
   (b) 4 : 3
   (c) 3 : 2
   (d) 4 : 5
   (e) None of these
   
   
   Q19. In Ram nagar Colony, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400 what is the new ratio of school going children to non-school going children?
   (a) 4 : 5
   (b) 3 : 2
   (c) 25 : 24
   (d) 6 : 7
   (e) None of these
   
   
   Q20 Rs 1104 is divided between 3 men, 4 women and 6 boys, so that the share of man, a women and a boy are in the proportion of 3 : 2 : 1. How much does each boy get?
   (a) Rs 48
   (b) Rs 64
   (c) Rs 96 
   (d) Cannot be determined
   (e) None of these
   
   
   Q21. A, B and C started a business. A invests 1/2 capital for 1/4 time, B invests =1/8 capital for 1/2 time and C invests the remaining capital for whole time. Find the share of B in the total profit Rs 9900.
   (a) Rs 2200
   (b) Rs 1100
   (c) Rs 6600
   (d) Rs 4400
   (e) None of these
   
   
   Q22. Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.
   (a) 55%
   (b) 50%
   (c) 45%
   (d) 25%
   (e) None of these
   
   
   Q23. Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kg of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second so as to produce a new alloy containing 40% of metal Y?
   (a) 11
   (b) 12
   (c) 13
   (d) 14
   (e) None of these
   
   
   Q24. Two equal glasses are respectively 2/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio of milk and water in the tumbler is
   (a) 5 : 6
   (b) 11 : 13
   (c) 13 : 11
   (d) Cannot be determined
   (e) None of these
   
   
   Q25. The ratio of the present ages of a son and his father is 1 : 5 and that of his mother and father is 4 : 5. After 2 years the ratio of the age of the son to that of his mother becomes 3 : 10. What is the present age of the father?
   (a) 30 years
   (b) 28 years
   (c) 37 years
   (d) 35 years
   (e) None of these
7. Thanks for coming here please share it because ""knowledge increases by sharing""